Answered: X-ray diffraction in potassium chloride…

X-ray diffraction in potassium chloride (KCI) results in a first- order maximum when 97-pm-wavelength X rays graze the crys- tal plane at 8.5°. Find the spacing between crystal planes.

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Question

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X-ray diffraction in potassium chloride (KCI) results in a first-
X rays graze the crys-
tal plane at 8.5°. Find the spacing between crystal planes.
order maximum when 97-pm-wavelength

Expert Solution

Concept and Principle:

The crystalline structure of a crystal is capable of diffracting incident X-rays in different directions. This is known as X-ray diffraction.

Bragg’s law is used to explain the interference pattern of X-rays scattered by the crystals. As Bragg’s law the maximum intensity occurs when,

$2 d s i n θ = m λ$

Here d is the spacing between the crystals, θ is the grazing angle, m is the order, and λ is the wavelength.

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